Question

4x + y + 14
x-2y=8

Can you explain how to do the problem please?

Answer 1

Is the second + sign in the first equation correct, or should it be an = sign?

Answer 2

oh it should be an equal sign my bad

Answer 3

Ok.
You have a system of equations that you need to solve.

Answer 4

This is the correct system of equations, right?
4x + y = 14
x - 2y = 8

Answer 5

is it 4,-2?

Answer 6

There are several methods of solving systems of equations.
Have you been asked to use a specific method, or is it up to you?

Answer 7

You can solve the problem by substitution.
4x + y=14
x-2y=8
so first isolate y or x
x-2y=8
add 2y to both sides
x=2y+8
then substitue 2y+8 into
4x+y=14
4(2y+8)+y=14
distribute
8y+32+y=14
combine like terms
9y+32=14
subtract 32
9y=-18
divide by 9
y=-2
then u plug in -2 in the y into the other equation
x=2y+8
x=2(-2)+8
x=-4+8
x=5
so the answer is
x=5
y=-2
(5,-2)

Answer 8

Yes, the solution you asked about is correct.

Answer 9

thank you

Answer 10

@EndlessTrip
Great explanation, but are you sure the second line below is correct?
x=-4+8
x=5

Answer 11

No. You did everything correctly, and almost at the end, you added -4 + 8 incorrectly.
-4 + 8 = 4, not 5. The answer is (4, -2). Look at your original solution, five lines up form the end.
That's all. It's a minor arithmetic error.

Answer 12

Ohhhh lol i didn't even notice. So yeah the answer is (4,-2).

Answer 13

Great. That's much better.

Answer 14

You did a great job explaining the substitution method.